Bounds for the adiabatic approximation with applications to quantum computation

Physics – Quantum Physics

Scientific paper

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Details

15 pages, one figure. Two comments added in Secs. 2 and 5

Scientific paper

10.1063/1.2798382

We present straightforward proofs of estimates used in the adiabatic
approximation. The gap dependence is analyzed explicitly. We apply the result
to interpolating Hamiltonians of interest in quantum computing.

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